Local dynamics of a three-dimensional host-parasite model

Mohammad Hossein Akrami, Mehdi Fatehi Nia

Abstract


In this paper, local dynamics of a three-dimensional host parasite model as a discrete dynamical system has been studied. The existence of fixed points and stability behaviour near these points are investigated. By use of centre manifold theorem we describe the stability of non-hyperbolic fixed points. Some numerical simulations explain our theoretical results in better way.

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Published: 2018-05-18

How to Cite this Article:

Mohammad Hossein Akrami, Mehdi Fatehi Nia, Local dynamics of a three-dimensional host-parasite model, Communications in Mathematical Biology and Neuroscience, Vol 2018 (2018), Article ID 11

Copyright © 2018 Mohammad Hossein Akrami, Mehdi Fatehi Nia. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Commun. Math. Biol. Neurosci.

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